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arXiv · 2301.01539

General Renewal Equations Motivated by Biology and Epidemiology

Rinaldo M. Colombo·Mauro Garavello·Francesca Marcellini·Elena Rossi
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Abstract

We present a unified framework ensuring well posedness and providing stability estimates to a class of Initial Boundary Value Problems for renewal equations comprising a variety of biological or epidemiological models. This versatility is achieved considering fairly general -- possibly non linear and/or non local -- interaction terms, allowing both low regularity assumptions and independent variables with or without a boundary. In particular, these results also apply, for instance, to a model for the spreading of a Covid like pandemic or other epidemics. Further applications are shown to be covered by the present setting.

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Rinaldo M. Colombo, Mauro Garavello, Francesca Marcellini, Elena Rossi. 2023-01-04. General Renewal Equations Motivated by Biology and Epidemiology. https://arxiv.org/abs/2301.01539

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